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Finding the Third Proportional to 4,761,634 and 7,153,306

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Solution

The third proportional to 4,761,634 and 7,153,306 is: 10,746,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,634 : 7,153,306 = 7,153,306 : x
  2. Step 2: Convert to fraction form
    4,761,634/7,153,306 = 7,153,306/x
  3. Step 3: Cross multiply
    4,761,634x = 7,153,306 × 7,153,306
  4. Step 4: Simplify right side
    4,761,634x = 51,169,786,729,636
  5. Step 5: Solve for x
    x = 51,169,786,729,636/4,761,634
  6. Step 6: Final answer
    x = 10,746,266.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.